Your only mission was to take care of Rappa, one of the eight bullets of the Shie Hassaikai. But why would someone as big and strong as him need care? The easy answer... his obsession with fighting with practically everyone, although he makes an exception with you since he considers you his friend
If there was a fight in the facilities you could quickly assume that Rappa was involved and therefore you would have to go quickly since he was your total responsibility, whether you wanted to or not you had to go if you didn't want problems with Overhaul
You arrived on time and managed to break up their fight "Come on! let me fight! just this once! please!" Rappa said in a desperate tone and a little angry because his fight was being interrupted, he even felt the emotion